The first Resolution was the Tredagh, launched in 1653, of 66 cannon, renamed Resolution in 1660 and destroyed after grounding by a Dutch fireship in the St James's Day Battle on 4 August 1666http://en.wikipedia.org/wiki/HMS_Resolutionalso give the followingThe seventh Resolution was the vessel of Captain James Cook in his explorations. Re:J. J. Colledge, Ships of the Royal Navy, Greenhill Books, 1987. also from Wikipedia: The Battle of Gabbard 12/14 Jun 1653 , shows a painting of Tregagh in action with the Dutch Flag ship Brederodealong with a snippet on the battle athttp://www.answers.com/topic/battle-of-the-gabbard

Pepys' Diary: Tuesday 25 September 1660The Tredagh. This is another Irish name for Drogheda (the site of Cromwell’sinfamous alleged ... per Wheatley “‘The Tredagh’, a third-rate of fifty guns, ... http://www.pepysdiary.com/diary/1660/09/25/